Accuracy conditions of multivariate refinable vector in frequence domain
文献类型：期刊论文
| 作者 | Chen, HL; Sheng, QH; Xiao, SL |
| 刊名 | COMPUTERS & MATHEMATICS WITH APPLICATIONS
 |
| 出版日期 | 2001-02-01 |
| 卷号 | 41期号:3-4页码:461-481 |
| 关键词 | accuracy symbol refinable functions superfunction |
| ISSN号 | 0898-1221 |
| 英文摘要 | Assume that Phi (x) = (Phi (1)(x),...,phi (r)(x))(inverted perpendicular), x is an element of R-d is a vector-valued function satisfying the refinement equation Phi (x) = Sigma (k is an element of Lambda) c(k)Phi (Ax - k) for some finite set Lambda of Z(d) and some r x r matrices ck. In [Ij, the requirements for Phi to have accuracy p are given in terms of some complicated matrix generated by mask. But how to characterize accuracy via symbol is an unsolved question in [I]. In this paper, we give accuracy conditions in frequency domain, i.e., conditions (1.19) and (1.20). By using accuracy conditions (1.19) and (1.20), we construct the superfunction which is very important to characterize approximation of shift-invariant space. Furthermore, we prove that (see Section 3) condition (1.19) is sufficient for refinable smooth functions to have accuracy p in the case of isotropic matrix dilation (i.e., (1.20) is redundant). (C) 2001 Elsevier Science Ltd. All rights reserved. |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000166807700018 |
| 出版者 | PERGAMON-ELSEVIER SCIENCE LTD |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/16610]  |
| 专题 | 中国科学院数学与系统科学研究院 |
| 通讯作者 | Chen, HL |
| 作者单位 | Acad Sinica, Inst Math, Beijing 100080, Peoples R China |
| 推荐引用方式 GB/T 7714 | Chen, HL,Sheng, QH,Xiao, SL. Accuracy conditions of multivariate refinable vector in frequence domain[J]. COMPUTERS & MATHEMATICS WITH APPLICATIONS,2001,41(3-4):461-481. |
| APA | Chen, HL,Sheng, QH,&Xiao, SL.(2001).Accuracy conditions of multivariate refinable vector in frequence domain.COMPUTERS & MATHEMATICS WITH APPLICATIONS,41(3-4),461-481. |
| MLA | Chen, HL,et al."Accuracy conditions of multivariate refinable vector in frequence domain".COMPUTERS & MATHEMATICS WITH APPLICATIONS 41.3-4(2001):461-481. |
入库方式： OAI收割
来源：数学与系统科学研究院
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